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Q: Find the pairs of numbers for which the least common multiple equals the product of the two numbers?

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If the least common multiple of two numbers equals the product of the two numbers, then the numbers are relatively prime, that is their highest common factor is 1. For example, the numbers 10 and 21: The lcm is 10 x 21 = 210 They are relatively prime since their hcf is 1.

Because prime numbers don't have any common prime factors. Their GCF is 1. Since the product of the GCF and LCM of a pair of numbers equals the product of the numbers, the LCM has to be equal to the product.

14 and 25 36 and 49 5 and 7

4 and 9 22 and 23 37 and 53

16 and 25 23 and 47 27 and 50

Pick pairs of prime numbers. Pick any pairs of prime numbers.

Any pair of prime or relatively prime numbers.25 and 367 and 1113 and 19

It means write down three pairs of numbers that are relatively prime like 4 and 9, 5 and 6, 13 and 25

12 and 16

The greatest common factor, or GCF, is the largest positive integer that will divide evenly with no remainder into all the members of a given set of numbers. The least common multiple, or LCM, is the smallest positive integer that all the members of a given set of numbers will divide into evenly with no remainder. Factors go into numbers, numbers go into multiples. Since the product of the GCF and LCM of two numbers equals the product of the two numbers themselves, the GCF of two numbers will equal the product of the numbers divided by the LCM and the LCM of two numbers will equal their product divided by their GCF.

Pick any pair of prime numbers. 5, 7 11, 13 17, 19 Pick any pair of consecutive integers.

The product of any two integers is equal to the product of their GCF and LCM. That means you can find any of those four numbers by knowing the other three.

Select any two numbers that are coprime: that is they do not have any factor in common. For example, 7 and 13, or 14 and 39, or 8 and 27

A positive times a positive equals a positive, a negative times a negative equals a positive, a negative times a positive equals a negative(vice versa for the last one)

They have an inverse relationship. Since the product of the LCM and GCF of two numbers equals the product of the original two numbers, as the GCF increases, the LCM decreases and vice versa.

The product of the LCM and GCF of two numbers equals the product of the two numbers.

multiplier times multiplicand equals product or multiplicand times multiplier equals product

4 & 5

Multiplicand times multiplier equals product

the half 7500

A positive number.

24, 6

multiplicand times multiplier equals product

A common multiple of 12,15, and 28 is 420. (15 multipled by 28 equals 420 and 12 multipled by 35 equals 420)

The numbers are 4 and 6.